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Finding the Fourth Proportional to 1,067.59, 1,601.53 and 418.24

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Solution

The fourth proportional to 1,067.59, 1,601.53 and 418.24 is: 627.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.59 : 1,601.53 = 418.24 : x
  2. Step 2: Convert to fraction form
    1,067.59/1,601.53 = 418.24/x
  3. Step 3: Cross multiply
    1,067.59x = 1,601.53 × 418.24
  4. Step 4: Simplify right side
    1,067.59x = 669,823.91
  5. Step 5: Solve for x
    x = 669,823.91/1,067.59
  6. Step 6: Final answer
    x = 627.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.